Isaiah Allusion in Colossians 1.12?

While reading through Isaiah 53, probably the most well known of the “servant songs,” I couldn’t help but notice a very familiar idea in verse 12a-
“Therefore, I will allot him a portion with the great…” (NRSV)

Paul, in Colossians 1.12, says this of the saints:
“[the Father], who has enabled you to share in the inheritance of the saints in the light.”

In both verses, we have God actively conferring upon someone a share/allotment of an inheritance. In Isaiah’s passage, the one who recieves the inheritance is the coming Messiah, while in Paul’s writings it is the Colossians (and us by extension).  Having just translated through Colossians 1 not too long ago, I went to look up the Isaiah passage in the Septuagint:

διὰ τοῦτο αὐτὸς κληρονομήσει πολλοὺς καὶ τῶν ἰσχυρῶν μεριεῖ

Now here is the Greek for Colossians 1.12

εὐχαριστοῦντες τῷ πατρὶ τῷ ἱκανώσαντι ὑμᾶς εἰς τὴν μερίδα τοῦ κλήρου τῶν ἁγίων ἐν τῷ φωτί

Notice the words in bold? Each of the three are cognates- that is verbs and nouns that come from the same root. Here are the comparisons:

Isaiah	Paul
κληρονομήσει – verb	kλήρου – noun
μεριεῖ – verb	μερίδα – noun

So what do you guys think? Did Paul have this in mind as he penned his letter to the Colossians? It seems to fit his theology- that as adopted sons and daughters, we share in Christ’s inheritance who is the true Heir (cf Romans 8.17)